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Efficient Jacobi-Gauss Collocation Method for Solving Initial Value Problems of Bratu Type

dc.contributor.authorDoha, E. H.
dc.contributor.authorBhrawy, A. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorHafez, R. M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-05-11T13:32:21Z
dc.date.available2020-05-11T13:32:21Z
dc.date.issued2013
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we propose the shifted Jacobi-Gauss collocation spectral method for solving initial value problems of Bratu type, which is widely applicable in fuel ignition of the combustion theory and heat transfer. The spatial approximation is based on shifted Jacobi polynomials J(n)((alpha, beta))(x) with alpha, beta is an element of (-1, infinity), x is an element of [0, 1] and n the polynomial degree. The shifted Jacobi-Gauss points are used as collocation nodes. Illustrative examples have been discussed to demonstrate the validity and applicability of the proposed technique. Comparing the numerical results of the proposed method with some well-known results show that the method is efficient and gives excellent numerical results.en_US
dc.description.publishedMonth9
dc.identifier.doi10.1134/S0965542513090121
dc.identifier.endpage1302en_US
dc.identifier.issn0965-5425
dc.identifier.issn1555-6662
dc.identifier.issue9en_US
dc.identifier.startpage1292en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3700
dc.identifier.volume53en_US
dc.language.isoenen_US
dc.publisherPleiades Publishing INCen_US
dc.relation.ispartofComputational Mathematics and Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBratu-Type Equationsen_US
dc.subjectSecond-Order Initial Value Problemsen_US
dc.subjectCollocation Methoden_US
dc.subjectJacobi-Gauss Quadratureen_US
dc.subjectShifted Jacobi Polynomialsen_US
dc.titleEfficient Jacobi-Gauss Collocation Method for Solving Initial Value Problems of Bratu Typetr_TR
dc.titleEfficient Jacobi-Gauss Collocation Method for Solving Initial Value Problems of Bratu Typeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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